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Finding the Third Proportional to 280,333 and 597,367

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Solution

The third proportional to 280,333 and 597,367 is: 1,272,940.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,333 : 597,367 = 597,367 : x
  2. Step 2: Convert to fraction form
    280,333/597,367 = 597,367/x
  3. Step 3: Cross multiply
    280,333x = 597,367 × 597,367
  4. Step 4: Simplify right side
    280,333x = 356,847,332,689
  5. Step 5: Solve for x
    x = 356,847,332,689/280,333
  6. Step 6: Final answer
    x = 1,272,940.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.